What is factor 64x^3-27y^3 ?

The solution to factor 64x^3-27y^3 is (4x-3y)(16x^2+12xy+9y^2)

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factor 64x^3-27y^3

factor

64 x^{3} - 27 y^{3}

(4 x - 3 y) (16 x^{2} + 12 x y + 9 y^{2})

Solution steps

64 x^{3} - 27 y^{3}

Apply exponent rules

= (4 x)^{3} - (3 y)^{3}

Apply Difference of Cubes Formula:

x^{3} - y^{3} = (x - y) (x^{2} + x y + y^{2})

(4 x)^{3} - (3 y)^{3} = (4 x - 3 y) ((4 x)^{2} + 4 x \cdot 3 y + (3 y)^{2})

= (4 x - 3 y) ((4 x)^{2} + 4 x \cdot 3 y + (3 y)^{2})

Simplify

(4 x)^{2} + 4 x \cdot 3 y + (3 y)^{2} : 16 x^{2} + 12 x y + 9 y^{2}

= (4 x - 3 y) (16 x^{2} + 12 x y + 9 y^{2})

10 (x + 2) = 5 (x + 8)

x^{3} \cdot x^{3}

\frac{30 !}{28 !}

\frac{7 k ^{2}}{4 k ^{3}}

\frac{12 - 7 x}{42} \geq 0

What is factor 64x^3-27y^3 ?
The solution to factor 64x^3-27y^3 is (4x-3y)(16x^2+12xy+9y^2)